Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

/**
 * Created by vitalii on 13.02.2016.
 */
public class B {

    public void solve() throws IOException {
        int n = nextInt();
        double h = nextInt();
        for (int i = 1; i < n; i++)
        {
            double ans = h*Math.sqrt(1.0*i / n);
            out.printf("%.12f", ans);
            if (i == n-1)
            {
                out.println();
            }
            else
            {
                out.print(" ");
            }
        }

    }


    public static void main(String[] args) throws IOException {
        new B().run();
    }

    public void run() throws IOException {
        in = new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
        solve();
        out.close();
    }

    BufferedReader in;
    PrintWriter out;
    StringTokenizer st;

    public String next() throws IOException {
        while (st == null || !st.hasMoreElements()) {
            st = new StringTokenizer(in.readLine());
        }
        return st.nextToken();
    }

    public Long nextLong() throws IOException {
        return Long.parseLong(next());
    }

    public Integer nextInt() throws IOException {
        return Integer.parseInt(next());
    }


}